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Integrate the functionsx/(sqrt(x+4)), x ...

Integrate the functions`x/(sqrt(x+4)), x >0`

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To solve the integral \( \int \frac{x}{\sqrt{x+4}} \, dx \), we will use substitution and integration techniques. Here’s a step-by-step solution: ### Step 1: Substitution Let \( t = x + 4 \). Then, we have: \[ x = t - 4 \] and the differential \( dx = dt \). ...
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